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arXiv 2301.04443quant-ph
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纠缠态比乘积态更难转移

Entangled States are Harder to Transfer than Product States

Tony J. G. Apollaro, Salvatore Lorenzo, Francesco Plastina, Mirko Consiglio, Karol Życzkowski

备注：
Contribution to the Entropy Special Issue of IQIS22 (Italian Quantum Information Science) conference, Palermo (Italy) 12-16 September 2022
发表信息：
Entropy 2023, 25(1), 46
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摘要：

纠缠态的分布是许多量子信息处理协议中至关重要的一项关键任务。通常采用的分配量子态的设置设想在一个位置创建状态，然后通过一些量子信道将其发送到（可能不同的）远程接收器。虽然纠缠量子态的分布比乘积态的分布效率低，这是公认的，也许是直观的预期，但这种效率低下（即，纠缠态和因子分解态的量子态传输保真度之间的差异）的彻底量化尚未进行。为此，在这项工作中，我们考虑$n$独立的振幅阻尼通道，并行作用，即，每一个局部地位于$n$量子位状态的一部分上。我们推导出精确的分析结果的保真度下降，相对于产品状态的情况下，在初始状态中的纠缠的存在下，高达四个量子比特。有趣的是，我们发现真正的多体纠缠比两量子比特纠缠对保真度有更不利的影响。我们的结果暗示了这样一个事实，即对于较大的$n$ -量子比特态，产品和纠缠态之间的平均保真度的差异随着单量子比特保真度的增加而增加，从而使后者成为一个不太值得信赖的品质因数。

英文摘要：

The distribution of entangled states is a key task of utmost importance for many quantum information processing protocols. A commonly adopted setup for distributing quantum states envisages the creation of the state in one location, which is then sent to (possibly different) distant receivers through some quantum channels. While it is undoubted and, perhaps, intuitively expected that the distribution of entangled quantum states is less efficient than that of product states, a thorough quantification of this inefficiency (namely, of the difference between the quantum-state transfer fidelity for entangled and factorized states) has not been performed. To this end, in this work, we consider $n$-independent amplitude-damping channels, acting in parallel, i.e., each, locally, on one part of an $n$-qubit state. We derive exact analytical results for the fidelity decrease, with respect to the case of product states, in the presence of entanglement in the initial state, for up to four qubits. Interestingly, we find that genuine multipartite entanglement has a more detrimental effect on the fidelity than two-qubit entanglement. Our results hint at the fact that, for larger $n$-qubit states, the difference in the average fidelity between product and entangled states increases with increasing single-qubit fidelity, thus making the latter a less trustworthy figure of merit.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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